FIELD OF THE INVENTION
[0001] The invention relates to a tool for imaging a formation, and in particular but not
exclusively, a tool for imaging a formation through a substantially non-conductive
medium.
BACKGROUND OF THE INVENTION
[0002] For oilfield and hydrocarbon exploration it is particularly useful to have a tool
that is capable of scanning a subsurface geological formation and to convey data representing
the various strata and hydrocarbons that constitute a subsurface geological formation.
Specifically, after drilling a borehole down into the earths crust, it would be useful
to have downhole tools that are capable of being run along the borehole wall and scanning
the surrounding formation to provide an image of the formation's properties to a user
on the surface. Equally, it is useful to have such a tool mounting on or close to
a drill tip so that the formation can be imaged as the drill penetrates into the earths
crust. This would enable a user to measure and/or image various formation parameters
close to or ahead of the drill bit and from there get the latest information about
the downhole formation, which might impact on the direction being drilled.
[0003] Tools using current injection are known, for example
US 4,468,623,
US 4,614,250,
US 4,567,759,
US 6,600,321,
US 6,714,014 or
US 6,809,521; that use current injection measurements in order to obtain micro-electric images
of a borehole wall, the borehole penetrating geological formations.
[0004] Such tools inject AC current into the formation from one or more small electrodes
(called "buttons") and measure the current from each button and the voltage between
the imaging buttons and the return electrode. In conductive mud (for example, water-based)
the imaging button is surrounded by a guard electrode to force the current into the
formation. In non-conductive (oil-based) mud such a guard is not necessary if the
formation is more conductive than the mud at the frequency of operation. The imaging
buttons plus guard electrode (if present) compose the injector. The impedance (voltage/current)
seen by each button is indicative of the resistivity of a small volume of formation
in front of each button. The area of the return electrode is usually much larger than
the size of the injector, in order that the current tube spreads out between the injector
and return to ensure first a high sensitivity and good resolution in front of the
imaging buttons and second low sensitivity and resolution in front of the return electrode.
[0005] Such tools can be adapted for wireline use, in which an array of imaging buttons
is at equipotential with a guard electrode on a pad (laterolog principle) and the
return is on a distant part of the tool mandrel. Such tools operate at frequencies
in the range 1-100 kHz where the formation generally has a resistive character and
dielectric effects can be neglected except at very high resistivities.
[0006] Such tools can be adapted as logging-while drilling tools, which are able to achieve
full coverage of the borehole with a limited number of electrodes by drill-string
rotation. Laterolog principles are used, sometimes with additional focusing by hardware
or software.
[0007] However, the use of such tools in non-conductive oil-based mud is of limited use
because the impedance measured is generally dominated by the mud impedance between
the injection electrode and formation that is in series with the formation impedance.
Reasonable images can be obtained in high-resistivity formations, i.e. above about
1000 Ω.m, but poor images result in formations having a lower resistivity.
[0008] Broadly speaking, two approaches have been adopted to enable better imaging through
oil-based mud in formations of low resistivity.
[0009] The first approach relies on a different measurement principle, the four-terminal
method as described in
US 6,191,588. Here the current is generated in the formation using two large electrodes near the
ends of a pad and potential differences in the formation are measured using pairs
of small electrodes at the centre of the pad. Using this technique the resolution
is worse than conventional current injection tools because it is determined by the
separation of the pair of voltage electrodes (rather than the size of the current
injection electrode). Also, this technique is insensitive to events (bedding, fractures
etc) parallel to the current flow (usually parallel to the borehole axis)..
[0010] The second approach is to increase the frequency of injection-type tools in order
to reduce the mud impedance, i.e.
US 2,749,503.
[0011] At high frequencies, various processing techniques have been suggested to reduce
the influence of the non-conductive mud between the pad and the borehole.
US 7,066,282 proposes measuring the real part of the impedance seen by the button, while
US 6,809,521,
US 7,394,258 and
US 7,397,250 all require making at least one mathematical approximation based on the mud impedance
being essentially imaginary, or the formation impedance being essentially real, or
using more than one frequency and assuming various mud properties are independent
of frequency. These approximations have limited ranges of validity, since they do
not adequately account for the electrical properties of the rocks and muds.
[0012] It is therefore desirable to provide a tool that is able to reduce the influence
of the non-conductive mud medium when using a current injection principle and to avoid
the previously-mentioned limitations.
SUMMARY OF THE INVENTION
[0013] According to a first aspect of the present invention there is provided a tool for
imaging a formation through a substantially non-conductive medium, the tool comprises:
first circuitry for injecting a current into the formation, wherein a complex impedance
to the current is measured; second circuitry for determining a phase angle of an impedance
of the non-conductive medium; and third circuitry for determining a component of the
complex impedance that is orthogonal to the phase angle.
[0014] According to a further aspect of the present invention there is provided a method
for measuring a component of an impedance of a formation through a substantially non-conductive
medium, the method comprising: injecting a current in the formation; measuring a complex
impedance to the current; determining a phase angle of an impedance of the non-conductive
medium; and determining the component of the complex impedance that is orthogonal
to the phase angle.
[0015] According to yet a further aspect of the invention there is provided an apparatus
for imaging a formation through a substantially non-conductive medium interposed between
the apparatus and the formation; the apparatus comprising: an imaging button spaced
at a first distance from the formation for injecting a first current into the formation;
a mud button spaced at a second distance from the formation for injecting a second
current into the formation; and a processing unit for determining a first impedance
from said first current and a second impedance from said second current, taking a
difference between the first and the second impedance, determining the phase angle
from the difference, and determining the component of impedance from the imaging button
that is orthogonal to the phase angle.
BRIEF DESCRIPTION OF THE DRAWINGS
[0016] The present invention is illustrated by way of example and not limited to the accompanying
figures, in which like references indicate similar elements:
Figure 1 shows a partial cross-section view of a part of a typical high-frequency
current injection tool;
Figure 2a and 2b respectively show examples of imaging tools designed for water-based
mud and oil-based mud respectively;
Figure 3 shows an equivalent circuit of impedances as seen by an imaging electrode;
Figure 4 shows a further reduced equivalent circuit of impedances as seen by an imaging
electrode;
Figure 5a, 5b and 5c show typical impedance vector diagrams in oil-based mud in different
conditions of frequency and formation resistiviy;
Figure 6a shows the reduced circuit of the impedances;
Figure 6b shows the vector diagram of the impedances;
Figure 6c shows a determination of the orthogonal and parallel components according
to one embodiment;
Figure 7a and 7b show equivalent circuits for measurement of mud impedance using recessed
buttons according to an embodiment;
Figure 8 shows the mud impedance measurement in vector form;
Figure 9 shows a high frequency imaging pad with recessed mud buttons according to
an embodiment;
Figure 10 shows results of amplitudes and phase measurements at three standoffs;
Figure 11 shows results of orthogonal and parallel components of impedance measured
at three standoffs;
Figure 12 shows an imaging pad with only a single recessed button according to a further
embodiment;
Figure 13 shows an example of a wireline application;
Figure 14 shows an alternative embodiment for determining the mud impedance;
Figure 15 shows another embodiment of button placement on a pad;
Figure 16 shows yet another embodiment of button placement on a pad;
Figure 17 shows a cut-off section for implementing the recessed button place of the
embodiment in Figure 16; and
Figure 18 shows another embodiment with a plurality of electrodes for obtaining a
profile of the borehole wall.
DETAILED DESCRIPTION OF THE INVENTION
[0017] Figure 1 shows a partial cross-section of the current injection principle. Specifically,
there is shown a tool located in mud 2 down a borehole surrounded by a rock formation
4. There is a button, or injection electrode, 10 which is responsible for injecting
current into the formation 4 and returns to the tool via a return electrode 6. The
imaging button 10 has a sensitive imaging region 8 and is insulated 12 from a guard
electrode 14.
[0018] Specifically, there is a shown a voltage source 18 that generates a potential difference
between the imaging button 10 and the return electrode 6. Since these electrodes are
a different potential, a current is injected into the formation which follows along
the paths indicated. Figure 1 also shows an ammeter 20 for measuring the current injected
into the formation. In practice, this might take the form of a small known resister,
where the current can be determined from the known voltage across the resistor divided
by the known resistance itself.
[0019] Moreover, it is possible to determine the complex impedance Z by dividing the known
generated complex voltage by the known complex current. By complex is meant that the
relevant parameter, i.e. voltage V, current I or impedance Z, have an in-phase (or
real) component as well as a quadrature (imaginary) component if represented on Cartesian
axes. Alternatively, if a polar co-ordinate system is used, complex means the relevant
parameters can also be represented in terms of an amplitude and phase component.
[0020] Figures 2a and 2b shows a high frequency imaging tool that are designed for water-based
mud and oil-based mud respectively.
[0021] Figure 3 shows an approximate electrical equivalent circuit of the impedances seen
by an imaging button in non-conductive oil-based mud. Specifically, the impedance
measured is of the mud impedance Zm, the formation impedance Zf and the mud return
impedance Zmr, in series.
[0022] Current injection tools are usually designed so the area of the return electrode
is much greater than the area of the injection electrode so that the measurement is
not sensitive to the formation adjacent to the return. This being so, the mud impedance
between the return and formation Zmr can usually be neglected compared to the mud
impedance between the injection electrode and the formation Zm. In other words: Zm
>> Zmr.
[0023] Figure 4 shows the revised impedance model neglecting the mud return impedance Zmr
as well as splitting the impedances into their respective capacitive and resistive
components. Specifically, the formation impedance Zf is represented by the formation
capacitance Cf in parallel with the formation resistance Rf. The mud impedance Zm
is represented by the mud capacitance Cm in parallel with the mud resistance Rm.
[0024] The total impedance Z is given by

where

[0025] The complex conductivity (also called admittivity) σ* is given by:

and d is the effective distance along the current path, A is the effective area of
the current path and ε is the permittivity.
[0026] Z
m and Z
f can be thought of as parallel R-C circuits as shown in Figure 4 with:

[0027] Concerning the mud, d
m is the thickness of the mud medium between the imaging electrode and the formation
while A
m is the area of the electrode. If the mud medium is 2 mm thick and the electrode has
a radius of 2.5 mm, A
m/d
m ∼ 10
-2 m. Concerning the formation, the factor A
f /d
f is typically 10 to 100 times smaller than A
m/d
m because the penetration depth in the formation d
f is much greater than the thickness of the mud medium d
m
[0028] The phase angles of the impedances are given by:

and

for the mud and formation respectively. Typical values of ωε/σ for rock and mud are
taken from laboratory measurements.
[0029] Figure 5 shows typical impedance vectors when the formation resistivity is sufficiently
low that the mud impedance is greater than the formation impedance. The only assumption
that can be made is that the phases of the mud and formation impedances are different.
[0030] Specifically, Figure 5(a) shows a conventional FMI operating at around 10 kHz in
oil-based mud with a formation resistivity of about 100 Ω.m. The mud impedance is
much greater than the formation impedance, the mud impedance phase is in the range
-90 to -30 deg and the formation phase is very close to zero (pure resistance).
[0031] Figure 5(b) shows a high-frequency FMI operating at around 50 MHz in oil-based mud
with a formation resistivity of about 1 Ω.m. The mud impedance is much greater than
the formation impedance, the mud impedance phase is in the range -80 to -90 deg and
the formation phase is close to zero (pure resistance).
[0032] Figure 5(c) shows a high-frequency FMI operating around 50 MHz in oil-based mud with
a formation resistivity of about 10 Ω.m. The mud impedance is greater than the formation
impedance, the mud impedance phase is in the range -80 to -90 deg and the formation
impedance phase is about -30 deg.
[0033] So for all these situations the only assumption that can be made is that the phases
of the mud and formation impedances are different. However, an embodiment of the present
invention seeks to discriminate against the mud and to become only sensitive to the
formation. Thus allowing better imaging in formations having low resistivity.
[0034] In order to make such a discrimination, it is necessary to determine the component
of the total impedance that is perpendicular to the phase of the mud impedance.
[0035] Figure 6 shows a series of figures showing how such a discrimination is made. Specifically,
figure 6(a) shows the total impedance being the sum of the formation impedance Zf
and the mud impedance Zm in series. Figure 6b shows a vector diagram where the impedance
vectors are plotting on a set of real and imaginary axes. These axes show the magnitude
and phase of each of the formation Zf and mud Zm impedance vectors and how these sum
to give the total impedance vector Z.
[0036] Finally, Figure 6c shows in accordance with an embodiment of the invention that the
total impedance Z is broken into components that are parallel and orthogonal to the
mud. The parallel component is sensitive mainly to the mud and can be used as a qualitative
indicator of button standoff for quality control. The orthogonal component is completely
insensitive to the mud and sensitive only to the formation.
[0037] Thus, knowing the mud phase (i.e. phase angle of the mud impedance vector) Φ
m, the orthogonal and parallel components can be calculated using standard rotation
equations. The real and imaginary axes are rotated by 90+ Φ
m degrees to become the orthogonal and parallel axes, respectively.
[0038] According to an embodiment of the invention the mud phase is determined by measuring
the total impedance at two distances from the borehole wall, wherein the difference
of the impedances represents the impedance of the extra mud medium. In one embodiment
this is achieved by adding an extra "mud" button, which is recessed to sit a few mm
further from the borehole wall than the other imaging button(s).
[0039] An example of such a recessed mud button configuration according to an embodiment
of the invention is shown in Figure 9. Specifically, the cross-section view shows
that the mud button 92 is recessed at a slightly further distance away from the borehole
wall than the array of imaging buttons 90 is spaced from the borehole wall. The array
of imaging buttons 90 in this embodiment being insulated from a surrounding guard
electrode residing on a pad of the imaging tool, which is aligned adjacent to a face
of the borehole.
[0040] The particular embodiment of Figure 9 shows a double return-pad 96 configuration,
but it should be appreciated that a more basic embodiment as shown in Figure 12 is
equally possible. Indeed, figure 12 shows a basic embodiment comprising a single return
pad 96', a single recessed mud button 92' and a single imaging button 90'.
[0041] Figures 7(a) and 7(b) shows the equivalents circuits as seen from the imaging and
mud buttons respectively.
[0042] Specifically, the imaging button sees:

whereas, the mud button sees

and the difference is the extra mud impedance:

[0043] Figure 8 shows this in vector form. The phase of the impedance Φ
m is calculated in the normal manner:

[0044] Thus, the embodiment shown in Figure 9 is a high frequency pad operating in the range
1-100 MHz. The two recessed mud buttons 92 are of each of similar size to the imaging
buttons 90 and are surrounded by an equipotential guard electrode like the imaging
buttons. A guard need not be used in an alternative embodiment. In this way the mud
buttons measure an impedance very close to the impedance that would be measured by
the imaging buttons if the pad were further away from the borehole wall. ΔZ
m can be determined from the difference in impedances measured by one imaging button
and one mud button
[0045] ΔZ
m is proportional to the distance by which the mud button 92 is recessed. However,
the phase of the mud impedance is not sensitive to this distance so the technique
does not need accurate knowledge of the distance and it can cope with wear on the
imaging electrode.
[0046] The mud buttons 92 are advantageously placed close to the imaging array and multiplexed
into the same current amplification and detection electronics. This automatically
corrects any phase errors in the electronics (for example, due to high temperature
downhole or inaccurate calibration). A phase shift will rotate all the impedance vectors,
including ΔZ
m, by the same angle.
[0047] Moreover, the configuration of Figure 9 or 12 allows errors in the measurement to
be reduced by calculating the average or median impedance seen by the mud buttons
and the average or median impedance seen by two or more of the imaging buttons.
[0048] The formation impedance seen by the imaging button at an instant in time is different
from that seen by the mud button, because the measurements are made at slightly different
physical positions on the pad. The mud button measurement can be depth-shifted to
the same depth as the imaging buttons using well-known techniques. However, depth
shifting is not necessary since the mud properties are expected to vary slowly compared
to the formation properties. It is preferable (and simpler) to take the average or
median of the measurements of both Z and Z(b_mud) over a range of depths of at least
a meter in order to average the formation impedance component.
[0049] There are alternative embodiments using recessed electrodes, for example instead
of using a recessed mud button and an imaging button, the mud impedance may be measured
using two mud buttons, one of which is recessed compared to the other.
[0050] In another embodiment, instead of using a recessed mud button and an imaging button,
the mud impedance may be measured using two imaging buttons, one of which is recessed
compared to the other.
[0051] In another embodiment, the button(s) used to measure mud impedance may have different
size and shape, the difference being corrected by calculation.
[0052] In another embodiment, the processing technique of taking the mud measurement may
be performed in oil-based mud, whether the tool is originally designed for water-based
mud or oil-based mud. Imaging tools capable of operating in the frequency range from
about 1 kHz to 100 MHz are capable of being adapted for such mud measurement.
[0053] Figure 15 shows yet another button placement embodiment, in which there are two mud
buttons on each side of the imaging button array 150. At least one of the mud buttons
is recessed. An advantage of this configuration is that the two mud buttons are each
at the same distance from the return electrode so the impedance measurement taken
of the formation can be averaged and hence made more accurate.
[0054] Figure 16 shows yet another button placement embodiment, in which the guard electrodes
152 (shown in Figure 15 is no longer present). Specifically, the configuration of
Figure 16 shows all the electrodes to be located in a co-planar manner and on the
same guard electrode 94. This configuration is advantageous in providing space saving
on the pad.
[0055] Figure 17 shows a profile of the pad which typically has a curvature shown by 170.
However, it is possible to implement the embodiment of Figure 16 by taking a machine
cut along line Z-Z to recess at least one of the electrodes.
[0056] It should be appreciated that the embodiments of the invention are capable to be
adapted for use in wireline applications, for example by mounting the electrodes on
pads or skids. The return electrode can be on the same pad, on a different pad or
on a tool mandrel or a combination of these.
[0057] Alternatively, the imaging tools adapted to an embodiment of the invention can be
used in LWD (Logging While Drilling applications), for example by mounting electrodes
on a drill collar, stabiliser blade, rotating sleeve, pad or a combination of these.
The return electrode can be on the same pad, on an adjacent part of the drill collar,
sleeve or stabilizer.
[0058] The guard electrode is not essential, especially when the formation is more conductive
than the mud, i.e. when the modulus of the formation of the formation conductivity
is greater than the modulus of the mud conductivity. In such an embodiment, the current
lines tend to be nearly perpendicular to the borehole wall.
[0059] Thus, in an embodiment of the invention ΔZ
m is obtained by subtracting the impedance from an electrode recessed from another,
which is in turn is used to determine the phase of the complex mud impedance. This
in turn is used to establish the orthogonal impedance component, which provides a
more accurate image for low resistivities formations.
[0060] Alternatively, in another embodiment, the mud impedance Zm can be measured differently
in that the current travels directly from an injector to a return via a volume of
mud. In this embodiment the injector and return electrode are separate from the main
imaging electrode. The injector and return electrodes can be co-planar (located on
the same face of a pad) or be located face-to-face in a recess on a pad, stabilizer
or tool body. Specifically, Figure 14 shows a pad with a recess notched out of its
profile. The notch is shown to be of width d1. For this embodiment, it is necessary
to either have a separate current source 190 or additional wiring/electronics that
draw power from the main voltage source 180. By applying the separate voltage source
190 across the notch, a potential difference is setup which causes a current I2 to
flow directly across the gap. Thus, this is an alternative method of being able to
deduce the impedance of the mud Zm provided mud is flowing in the borehole and into
the notch.
[0061] Thus, the mud impedance is capable of being measured in different ways. The separate
injector embodiment does not require further recessed buttons, but requires slightly
more space due to the separation needed. On the other hand the recessed electrode
embodiment allows for close placement of the mud button to the imaging button. This
allows for the multiplexing of the electronics, which not only saves space but automatically
allows for correction of phase shifts in the electronics.
[0062] Figures 10 and 11 show results of the mud impedance measurement and orthogonal processing
performed on lab data. The pad used for these measurements was not equipped with extra
recessed mud buttons. Instead, the impedance measured by the imaging buttons at a
greater standoff was used to simulate the recessed buttons.
[0063] Specifically, figure 10 shows a block of artificial rock containing beds of resistivities
from 0.2 to 30 Ω.m. The block was scanned with an imaging tool at a frequency above
1 MHz in oil-based mud. Images 1 to 3 from the left show the amplitude measurement
at three standoffs: 1, 2 and 4 mm, and images 4 to 6 show the phase measurement at
three standoffs. Both amplitude and phase are affected by standoff.
[0064] Figure 11 shows the impedance components for the same data set. Images 1 to 3 from
the left show the orthogonal component and images 4 to 6 show the parallel component.
The images showing orthogonal component of impedance are almost unaffected by standoff
and are weakly sensitive to the two parallel mud-filled grooves at the top of the
image.
[0065] According to another embodiment of the invention, the obtained ΔZ
m is used to also determine other properties.
[0066] For example, in one embodiment the ΔZ
m measurement is used to calculate the complex conductivity of the mud provided the
geometry of the mud button is accurately known.

where Δd
m is the distance by which the mud button is recessed and A
m is the effective area of the button.
[0067] From the complex conductivity, it is possible to then determine the real-valued conductivity,
permittivity and resistivity of the formation using standard equations:

where σ is the conductivity, ε the permittivity.
When the material is highly conductive, the real-valued resistivity is given by

[0068] It is possible to use more than one frequency (simultaneously or sequentially) to
optimise the measurement sensitivity to the mud or formation. To determine the standoff
of the imaging buttons it is preferable to use a relatively low frequency (for example
from about 10 kHz to 1 MHz) so that the imaging buttons are much more sensitive to
the mud than the formation (Z
m >> Z
f).
[0069] From the measured mud complex conductivity, it is also possible to determine the
standoff for each imaging button at a low frequency as follows:

[0070] To image the formation it is preferable to use higher frequencies that are less sensitive
to the mud. For the lowest resitivity formations (below 1 Ω.m), a frequency in the
range 10-100 MHz is preferable, while for high resistivities above 100 Ω.m a frequency
in the range of 100 kHz to 1 MHz suffices. It should be understood that these frequency
ranges could alter depending on electronic and processing improvements.
[0071] In turn, the standoff and complex mud conductivity can be used in other processing
algorithms to determine the formation properties.
[0072] The standoff can be used for quality control of the measurements. The standoff can
also be used to improve the accuracy of hole radius measurements.
[0073] In the embodiment of a wireline tool with several pads pressed against the borehole
wall, by taking the sum of the mechanically measured pad radius and the standoff on
each imaging button a detailed hole shape image can be produced. Figure 18 shows an
embodiment of this where a plurality of electrodes are 182, 184, 186, 188 are mounted
on a pad, all capable of injecting current into the formation which completes its
path to the return pad 181. The electrodes 182, 184, 186 and 188 are shown to measure
the standoffs S1, S2, S3, and S4 respectively. It is then possible for these respective
standoff measurements to be combined to allow a profile or shape of the actual borehole
wall to be constructed.
[0074] In the embodiment of a rotating LWD tool, the standoff can be used to determine the
position of the tool relative to the borehole wall, and if two diametrically opposed
buttons are used the hole diameter can be determined at each azimuthal position.
[0075] Figure 13 shows an overview of a wireline application where an embodiment of the
invention may be applied. Specifically, an imaging tool 135, equipped for example
with a pad 137, is suspended from a wireline cable 132 downhole. The borehole 2 is
surrounded by the earth formation 4. The imaging tool sends imaging information to
surface equipment 130.
[0076] To summarise some of the embodiments described, one embodiment of the invention is
concerned with orthogonal processing, wherein the component of the mud impedance phase
that is orthogonal to the total impedance is determined. This improves imaging especially
in oil-based mud in low resisitivity formations.
[0077] Another embodiment of the invention is concerned with determining the mud impedance
phase from the difference in impedances measured by two electrodes arranged at different
distances from the borehole wall.
[0078] Another embodiment is concerned with using the mud impedance obtained from a recessed
mud electrodes to determine other formation properties such as the mud conductivity
or standoff or for improving the accuracy of the borehole radius measurements.
[0079] Another embodiment is concerned with determining the mud impedance phase directly
from current passing directly across a notch in the pad without entering the formation.
[0080] Thus it is possible to obtain accurate images when the formation impedance is less
than the mud impedance. This is achieved by discriminating against the mud by measuring
the phase of the complex mud impedance and calculating the component of the total
complex impedance orthogonal to the mud phase. The phase angle of the mud impedance
is preferably measured from the difference between the impedances measured by two
electrodes at different distances from the formation. Preferably, one of the difference
electrodes is an imaging electrode and the other is an additional "mud" electrode
situated close to it and recessed so as to be at a greater distance from the formation.
However, other configurations have also been described.
1. A tool (135) for imaging a formation (4) through a substantially non-conductive medium
interposed between the tool (135) and the formation (4) when the tool (135) is located
in a borehole (2) drilled in the formation (4), the tool (135) comprises:
first circuitry for injecting a current into the formation (4) and measuring a complex
impedance (Z) to the current;
second circuitry for determining a phase angle (Φm) of an impedance (Zm) of the non-conductive medium;
third circuitry for determining a component (Zf) of the complex impedance (Z) that is orthogonal to the phase angle (Φm) based on said complex impedance (Z) and said phase angle (Φm), said component (Zf) being sensitive to the formation (4) but insensitive to the non-conductive medium;
and
wherein the tool (135) for imaging the formation (4) is connectable to a surface equipment
(130) comprising means for showing the component (Zf) of the complex impedance (Z) that is orthogonal to the phase angle (Φm) as an image.
2. The tool of claim 1, wherein the first circuitry comprises:
a first electrode (10, 90, 90') for injecting the current in the formation (4); and
a return electrode (6) for receiving the current.
3. The tool of claim 2, wherein the current is injected in the formation (4) as a result
of a voltage difference between the first electrode (10, 90, 90') and the return electrode
(6).
4. The tool of claim 3, wherein the voltage difference is generated by a generator (18)
capable of generating an alternating voltage at a desired frequency.
5. The tool of claim 2 or 3, wherein the tool (135) is capable of determining an in-phase
and a quadrature component of the current and a voltage.
6. The tool of claim 2, wherein the second circuitry comprises:
a second electrode (92, 92') for injecting a second current in the formation (4),
the second electrode (92, 92') being recessed with respect to the first electrode
(90, 90') such that, when the tool (135) is located in the borehole (2), the first
electrode (90, 90') is spaced at a first distance from the formation (4), and the
second electrode (92, 92') is spaced at a second distance from the formation (4),
wherein a second complex impedance (Z(b_mud)) to the second current is determined;
and
a processor for determining the phase angle (Φm) from a difference (ΔZm) between the complex impedance (Z) and the second complex impedance (Z(b_mud)).
7. The tool of claim 2, wherein the first electrode (10, 90, 90') is at least one of
an imaging button, a mud button and one of an array of buttons.
8. The tool of claim 6, wherein the second electrode (92, 92') is at least one of an
imaging button, a mud button and one of an array of buttons.
9. The tool of any preceding claim, wherein the third circuitry is further capable of
determining a component of the complex impedance (Z) that is parallel to the phase
angle (Φm) for qualitative indication of a standoff (51, 52, 53, 54).
10. The tool of claim 6, wherein the phase angle Φ
m is determined from the difference ΔZ
m by:
11. A method for imaging a formation (4) through a substantially non-conductive medium
interposed between the tool (135) and the formation (4) when the tool is located in
a borehole (2) drilled in the formation (4), the method comprising:
injecting a current in the formation (4);
measuring a complex impedance (Z) to the current;
determining a phase angle (Φm) of an impedance (Zm) of the non-conductive medium; and
determining a component (Zf) of the complex impedance (Z) that is orthogonal to the phase angle (Φm) based on said complex impedance (Z) and said phase angle (Φm), said component (Zf) being sensitive to the formation (4) but insensitive to the non-conductive medium;
and
showing the component (Zf) of the complex impedance (Z) that is orthogonal to the phase angle (Φm) as an image.
12. The method of claim 11, further comprising:
injecting a second current in the formation (4);
measuring a second complex impedance (Z(b_mud)) to the second current; and
determining the phase angle (Φm) from a difference (ΔZm) between the complex impedance (Z) and the second complex impedance (Z(b_mud)).
13. The method of claim 11, further comprising:
determining a component of the complex impedance (Z) that is parallel to the phase
angle (Φm) for qualitative indication of a standoff (51, 52, 53, 54).
1. Werkzeug (135) zum Abbilden einer Formation (4) durch ein im Wesentlichen nicht leitendes
Medium, das zwischen das Werkzeug (135) und die Formation (4) eingefügt ist, wenn
sich das Werkzeug (135) in einem in die Formation (4) gebohrten Bohrloch (2) befindet,
wobei das Werkzeug (135) umfasst:
eine erste Schaltungsanordnung, um in die Formation (4) einen Strom einzuleiten und
um eine komplexe Impedanz (Z) für den Strom zu messen;
eine zweite Schaltungsanordnung, um einen Phasenwinkel (Φm) einer Impedanz (Zm) des nicht leitenden Mediums zu bestimmen;
eine dritte Schaltungsanordnung, um eine Komponente (Zf) der komplexen Impedanz (Z), die zu dem Phasenwinkel (Φm) senkrecht ist, anhand der komplexen Impedanz (Z) und des Phasenwinkels (Φm) zu bestimmen, wobei die Komponente (Zf) für die Formation (4) empfindlich ist, jedoch für das nicht leitende Medium unempfindlich
ist; und
wobei das Werkzeug (135) zum Abbilden der Formation (4) mit einer Oberflächenapparatur
(130) verbunden werden kann, die Mittel umfasst, um die Komponente (Zf) der komplexen Impedanz (Z), die zu dem Phasenwinkel (Φm) senkrecht ist, als Bild anzuzeigen.
2. Werkzeug nach Anspruch 1, wobei die erste Schaltungsanordnung umfasst:
eine erste Elektrode (10, 90, 90'), um den Strom in die Formation (4) einzuleiten;
und
eine Rückleitungselektrode (6), um den Strom aufzunehmen.
3. Werkzeug nach Anspruch 2, wobei der Strom in die Formation (4) als Folge einer Spannungsdifferenz
zwischen der ersten Elektrode (10, 90, 90') und der Rückleitungselektrode (6) eingeleitet
wird.
4. Werkzeug nach Anspruch 3, wobei die Spannungsdifferenz durch einen Generator (18)
erzeugt wird, der eine Wechselspannung mit einer gewünschten Frequenz erzeugen kann.
5. Werkzeug nach Anspruch 2 oder 3, wobei das Werkzeug (135) eine Inphase- und eine Quadraturkomponente
des Stroms und eine Spannung bestimmen kann.
6. Werkzeug nach Anspruch 2, wobei die zweite Schaltungsanordnung umfasst:
eine zweite Elektrode (92, 92'), um in die Formation (4) einen zweiten Strom einzuleiten,
wobei die zweite Elektrode (92, 92') in Bezug auf die erste Elektrode (90, 90') eingelassen
ist, wenn sich das Werkzeug (135) in dem Bohrloch (2) befindet, wobei die erste Elektrode
(90, 90') um eine erste Strecke von der Formation (4) beabstandet ist und wobei die
zweite Elektrode (92, 92') um eine zweite Strecke von der Formation (4) beabstandet
ist, wobei eine zweite komplexe Impedanz (Z(b_mud)) für den zweiten Strom bestimmt
wird; und
einen Prozessor, um den Phasenwinkel (Φm) aus einer Differenz (ΔZm) zwischen der komplexen Impedanz (Z) und der zweiten komplexen Impedanz (Z(b_mud))
zu bestimmen.
7. Werkzeug nach Anspruch 2, wobei die erste Elektrode (10, 90, 90') eine Abbildungskapsel
und/oder eine Schlammkapsel und/oder eine Kapselanordnung ist.
8. Werkzeug nach Anspruch 6, wobei die zweite Elektrode (92, 92') eine Abbildungskapsel
und/oder eine Schlammkapsel und/oder eine Kapselanordnung ist.
9. Werkzeug nach einem vorhergehenden Anspruch, wobei die dritte Schaltungsanordnung
ferner eine Komponente der komplexen Impedanz (Z), die zu dem Phasenwinkel (Φm) parallel ist, für die qualitative Angabe eines Abstands (51, 52, 53, 54) bestimmen
kann.
10. Werkzeug nach Anspruch 6, wobei der Phasenwinkel (Φ
m) aus der Differenz ΔZ
m folgendermaßen bestimmt wird:
11. Verfahren zum Abbilden einer Formation (4) durch ein im Wesentlichen nicht leitendes
Medium, das zwischen das Werkzeug (135) und die Formation (4) eingesetzt ist, wenn
sich das Werkzeug in einem in die Formation (4) gebohrten Bohrloch (2) befindet, wobei
das Verfahren umfasst:
Einleiten eines Stroms in die Formation (4);
Messen einer komplexen Impedanz (Z) für den Strom;
Bestimmen eines Phasenwinkels (Φm) einer Impedanz (Zm) des nicht leitenden Mediums; und
Bestimmen einer Komponente (Zf) der komplexen Impedanz (Z), die zu dem Phasenwinkel (Φm) senkrecht ist, anhand der komplexen Impedanz (Z) und des Phasenwinkels (Φm), wobei die Komponente (Zf) für die Formation (4) empfindlich ist, jedoch für das nicht leitende Medium unempfindlich
ist; und
Anzeigen der Komponente (Zf) der komplexen Impedanz (Z), die zu dem Phasenwinkel (Φm) senkrecht ist, als Bild.
12. Verfahren nach Anspruch 11, das ferner umfasst:
Einleiten eines zweiten Stroms in die Formation (4);
Messen einer zweiten komplexen Impedanz (Z(b_mud)) für den zweiten Strom; und
Bestimmen des Phasenwinkels (Φm) aus einer Differenz (ΔZm) zwischen der komplexen Impedanz (Z) und der zweiten komplexen Impedanz (Z(b_mud)).
13. Verfahren nach Anspruch 11, das ferner umfasst:
Bestimmen einer Komponente der komplexen Impedanz (Z), die zu dem Phasenwinkel (Φm) parallel ist, um eine Distanz (51, 52, 53, 54) qualitativ anzugeben.
1. Outil (135) pour représenter en image une formation (4) à travers un milieu sensiblement
non conducteur interposé entre l'outil (135) et la formation (4) lorsque l'outil (135)
est positionné dans un sondage (2) foré dans la formation (4), l'outil (135) comprenant
:
une première circuiterie permettant d'injecter un courant dans la formation (4) et
de mesurer une impédance complexe (Z) du courant ;
une deuxième circuiterie permettent de déterminer un angle de phase (φm) d'une impédance (Zm) du milieu non conducteur ;
une troisième circuiterie permettant de déterminer une composante (Zf) de l'impédance complexe (Z) qui est orthogonale à l'angle de phase (φm) en se basant sur ladite impédance complexe (Z) et ledit angle de phase (φm), ladite composante (Zf) étant sensible à la formation (4) mais insensible au milieu non conducteur ; et
dans lequel l'outil (135) permettant de représenter en image la formation (4) peut
être raccordé à un équipement de surface (130) comprenant un moyen permettant de montrer
la composante (Zf) de l'impédance complexe (Z) qui est orthogonale à l'angle de phase (φm) sous forme d'image.
2. Outil selon la revendication 1, dans lequel la première circuiterie comprend :
une première électrode (10, 90, 90'), permettant d'injecter le courant dans la formation
(4) ; et
une électrode de retour (6) permettant de recevoir le courant.
3. Outil selon la revendication 2, dans lequel le courant est injecté dans la formation
(4) comme la résultante d'une différence de tension entre là première électrode (10,
90, 90') et l'électrode de retour (6).
4. Outil selon la revendication 3, dans lequel la différence de tension est générée par
un générateur (18) capable de générer une tension alternative à une fréquence souhaitée.
5. Outil selon la revendication 2 ou 3, dans lequel l'outil (135) est capable de déterminer
une composante en phase et une composante en quadrature de phase du courant et d'une
tension.
6. Outil selon la revendication 2, dans lequel la deuxième circuiterie comprend :
une seconde électrode (92, 92') permettant d'injecter un second courant dans la formation
(4), la seconde électrode (92, 92') étant évidée par rapport à la première électrode
(90, 90') de telle sorte que, lorsque l'outil (135) est positionné dans le sondage
(2), la première électrode (90, 90') est espacée à une première distance de la formation
(4), et la seconde électrode (92, 92') est espacée à une seconde distance de la formation
(4), dans lequel une seconde impédance complexe (Z(b_mud)) du second courant est déterminée
et
un processeur permettant de déterminer l'angle de phase (φm) à partir d'une différence (ΔZm) entre l'impédance complexe (Z) et la seconde impédance complexe (Z(b_mud)).
7. Outil selon la revendication 2, dans lequel la première électrode (10, 90, 90') est
au moins un élément parmi un boulon d'imagerie, un bouton de boue et l'un d'un réseau
de boutons.
8. Outil selon la revendication 6, dans lequel la seconde électrode (92, 92') est au
moins un élément parmi un bouton d'imagerie, un bouton de boue et l'un d'un réseau
de boutons.
9. Outil selon l'une quelconque des revendications précédentes, dans lequel la troisième
circuiterie est en outre capable de déterminer une composante de l'impédance complexe
(Z) qui est parallèle à l'angle de phase (φm) pour une indication qualitative d'une distance annulaire (51, 52, 53, 54).
10. Outil selon la revendication 6, dans lequel l'angle de phase φ
m est déterminé à partir de la différence ΔZ
m par :
11. Procédé de représentation en image d'une formation (4) à travers un milieu sensiblement
non conducteur interposé entre l'outil (135) et la formation (4) lorsque l'outil est
positionné dans un sondage (2) foré dans la formation (4), le procédé comprenant les
étapes consistant à :
injecter un courant dans la formation (4) ;
mesurer une impédance complexe (Z) du courant ;
déterminer un angle de phase (φm) d'une impédance (Zm) du milieu non conducteur ; et
déterminer une composante (Zf) de l'impédance complexe (Z) qui est orthogonale à l'angle de phase (φm) en se basant sur ladite impédance complexe (Z) et ledit angle de phase (φm), ladite composante (Zf) étant sensible à la formation (4) mais insensible au milieu non conducteur ; et
montrer la composante (Zf) de l'impédance complexe (Z) qui est orthogonale à l'angle de phase (φm) sous forme d'image.
12. Procédé selon la revendication 11, comprenant en outre les étapes consistant à :
injecter un second courant dans la formation (4) ;
mesurer une seconde impédance complexe (Z(b_mud)) du second courant ; et
déterminer l'angle de phase (φm) à partir d'une différence (ΔZm) entre l'impédance complexe (Z) et la seconde impédance complexe (Z(b_mud)).
13. Procédé selon la revendication 11, comprenant en outre l'étape consistant à :
déterminer une composante de l'impédance complexe (Z) qui est parallèle à l'angle
de phase (φm) pour une indication qualitative de distance (51, 52, 53, 54).